We look at the division of 135132 by 13 
We want to figure out the number of times 135132 can be divided by 13.

On to step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 13

On to step 2:
When dividing 13 by 13, we get 1 with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 13 from 13 leaves us with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 13

Advancing to step 3:
13 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 13

Let's proceed to step 4:
If we divide 51 by 13, we get 3 and a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 103.0
The remainder is 12 after subtracting 39 from 51.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 13

Moving on to step 5:
When dividing 123 by 13, we get 9 with a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 1039.0
The remainder is 6 after subtracting 117 from 123.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 13

Advancing to step 6:
62 divided by 13 is 4 with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 10394.0
Subtracting 52 from 62 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 10394.7
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 8:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 10394.76
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 9:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 10394.769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 10:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 10394.7692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 10394.76923
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
If we divide 10 by 13, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 10394.76923
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 10394.7692307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 14:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 10394.76923076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 10394.76923076 with a remainder of 1.2e-08.